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Research
My current research focuses on set theory with urelements. I am interested in reflection principles, choice principles, forcing, and large cardinals in the presence of urelements. I also have interests in potentialism, abstraction principles, and the relationship between mereology and set theory.
Papers
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Axiomatization and Forcing in Set Theory with Urelements. Journal of Symbolic Logic. Journal Arxiv
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Boolean-valued Models of Set Theory with Urelements, with Xinhe Wu. Notre Dame Journal of Formal Logic. 65 (2):203-227. 2024. Journal PDF
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Reflective Mereology. Journal of Philosophical Logic 52 (4): 1171-1196. 2023. Journal PDF
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Reflection in Second-Order Set Theory with Abundant Urelements Bi-Interprets a Supercompact Cardinal, with Joel David Hamkins. Journal of Symbolic Logic:1-36. 2022. Journal Arxiv
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Reflection Principles and Second-Order Choice Principles with Urelements. Annals of Pure and Applied Logic 173 (4):103073. 2022. Journal
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Ability and the Past. American Philosophical Quarterly 56 (4):397-406. 2019. Journal
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Abstraction Principles and Size of Reality. Submitted. PDF
Dissertation
Set Theory with Urelements. Arxiv
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